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Finding the Fourth Proportional to 35,733.30, 49,314.98 and 19,822.88

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Solution

The fourth proportional to 35,733.30, 49,314.98 and 19,822.88 is: 27,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,733.30 : 49,314.98 = 19,822.88 : x
  2. Step 2: Convert to fraction form
    35,733.30/49,314.98 = 19,822.88/x
  3. Step 3: Cross multiply
    35,733.30x = 49,314.98 × 19,822.88
  4. Step 4: Simplify right side
    35,733.30x = 977,564,733.72
  5. Step 5: Solve for x
    x = 977,564,733.72/35,733.30
  6. Step 6: Final answer
    x = 27,357.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.